4(x-9)+x=5(x-9)+9

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Solution for 4(x-9)+x=5(x-9)+9 equation: 


Simplifying
4(x + -9) + x = 5(x + -9) + 9

Reorder the terms:
4(-9 + x) + x = 5(x + -9) + 9
(-9 * 4 + x * 4) + x = 5(x + -9) + 9
(-36 + 4x) + x = 5(x + -9) + 9

Combine like terms: 4x + x = 5x
-36 + 5x = 5(x + -9) + 9

Reorder the terms:
-36 + 5x = 5(-9 + x) + 9
-36 + 5x = (-9 * 5 + x * 5) + 9
-36 + 5x = (-45 + 5x) + 9

Reorder the terms:
-36 + 5x = -45 + 9 + 5x

Combine like terms: -45 + 9 = -36
-36 + 5x = -36 + 5x

Add '36' to each side of the equation.
-36 + 36 + 5x = -36 + 36 + 5x

Combine like terms: -36 + 36 = 0
0 + 5x = -36 + 36 + 5x
5x = -36 + 36 + 5x

Combine like terms: -36 + 36 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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